Question 172838
ok the easiest way to set this up is with proportions
:
lets call votes kim receives k and votes amy receives a
:
{{{k/a=3/2}}}--->2k=3a---->k=3a/2......eq 1
:
{{{(k-8)/(a+8)=1/2}}}----->a+8=2(k-8)--->a+8=2k-16--->a-2k=-24....eq 2
:
lets substitute k's value in eq 1 into eq 2
:
a-2(3a/2)=-24
:
a-3a--24
:
-2a=-24
:
{{{highlight(a=12)}}}votes for amy
:
{{{highlight(k=3(12)/2=18)}}}votes for kim

Total of people who voted{{{highlight(18+12=30)}}}